MATH 1550H Midterm: MATH1550H-Test-1pg
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Legibly, please: if you have a question, ask it, use the back sides of the test sheets for rough work or extra space, you may use a calculator and an aid sheet, do any two (2) of a c. 2 e x x 0: determine whether f (x) = (cid:26) 1. 1 is a valid probability density: a hand of ve cards is drawn randomly, one at a time (so order matters) and without replacement, from a standard 52-card deck. What is the probability that the hand includes exactly three s, given that the rst card drawn was a : a fair coin is tossed until it comes up heads for the second time. What is the proba- bility that at least four tosses will be required: do any two (2) of a c. [10 = 2 5 each: suppose that a and b are events in some sample space, with p (a) = p (b) = 2.
